Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960x |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
979589842560000 = 210 · 310 · 54 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124347,-16809914] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:220:1] |
Generators of the group modulo torsion |
j |
284840777767396/1312250625 |
j-invariant |
L |
7.1568220097306 |
L(r)(E,1)/r! |
Ω |
0.25430864565647 |
Real period |
R |
3.5177834749466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998878 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115920bf2 19320v2 |
Quadratic twists by: -4 -3 |